Ratio and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What does it mean to 'cross-multiply'?

Back

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a/b = c/d, what is the cross-multiplication result?

Back

The result is ad = bc.

Front

What is the first step in solving for x in a proportion?

Back

The first step is to cross-multiply the terms.

Front

If 2/3 = x/9, what is the value of x?

Back

x = 6.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between quantities, even if the numbers are different.